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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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Moment of inertia of a solid sphere about its diameter is ' I\mathrm{I} '. It is then casted into 27 small sphere of same diameter. The moment of inertia of each new sphere is
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Correct option: C
I243\frac{\mathrm{I}}{243}
Option C (I243\frac{\mathrm{I}}{243}) is correct because the moment of inertia is proportional to MR², and both mass and radius change when the sphere is recast.

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